General teleparallel metrical geometries

Adak, Muzaffer; Dereli, Tekin; Koivisto, Tomi S.; Pala, Caglar

doi:10.1142/s0219887823502158

Cited by 7 publications

(4 citation statements)

References 30 publications

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“…Maurya et al [24] noted the significant impact of the nonmetricity parameter and decoupling constant on the stability of compact stars in f  ( )gravity. Adak et al [25] delved into the broader realm of teleparallel geometry using differential forms. Their exploration encompassed the examination of specific instances such as metric and symmetric teleparallelism.…”

Section: Literature Reviewmentioning

confidence: 99%

Study of viable compact stellar structures in non-Riemannian geometry

Gul,

Sharif,

Arooj

2024

Phys. Scr.

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The main objective of this article is to investigate the viablecompact stellar structures in non-Riemannian geometry, i.e.,$f(\mathbb{Q},\mathbb{T})$ theory, where $\mathbb{Q}$ defines thenon-metricity and $\mathbb{T}$ represents trace of the stress-energytensor. For this purpose, we consider a static spherical spacetimewith anisotropic matter configuration to examine the geometry ofconsidered compact stars. A specific model of this theory is used toderive the explicit expressions of energy density and pressurecomponents that govern the relationship between matter and geometry.The unknown constants in the metric potentials are determined byusing the continuity of interior and exterior spacetimes to examinethe configuration of spherical stellar structures. Physicalparameters such as fluid characteristics, energy constraints andequation of state parameters are analyzed to examine the viabilityof the considered stellar objects. Further, the equilibrium stateand stability of the proposed stellar objects are evaluated usingthe Tolman-Oppenheimer-Volkoff equation, sound speed and adiabaticindex, respectively. The rigorous analysis and satisfaction ofnecessary conditions lead to the conclusion that the stellar objectsstudied in this framework are viable and stable.

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Section: Literature Reviewmentioning

confidence: 99%

Study of viable compact stellar structures in non-Riemannian geometry

Gul,

Sharif,

Arooj

2024

Phys. Scr.

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“…However, it is worth pointing out that the physics we discuss is independent of its possible geometrical depictions, and indeed there are equivalent formulations in terms of different fields in different geometrical frameworks, e.g. [25,27,71,72].…”

Section: Jcap12(2023)010mentioning

confidence: 99%

“…At the technical level, the mathematical apparatus for the theory admits a geometric interpretation in terms of an affine structure which is flat, yet has non-trivial properties both with respect to a metric (non-metricity) and with respect to a coframe (torsion). Only a handful of studies has yet been carried into this general affinely-flat geometry [22][23][24][25][26][27]. However, its two special limits accommodate the now often-studied reformulations of GR and their myriad modifications: the torsion-free case known as the symmetric teleparallel, and the metric-compatible case known as the metric teleparallel geometry, see e.g.…”

Section: Introductionmentioning

confidence: 99%

General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

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General (tele)parallel Relativity, G∥R, is the relativistic completion of Einstein's theories of gravity. The focus of this article is the derivation of the homogeneous and isotropic solution in G∥R. The first-principles derivation, based on a non-trivial realisation of the symmetry, supersedes and unifies previous constructions of Riemannian and teleparallel cosmologies, and establishes the uniqueness of the physical solution. The constitutive law and the form of the material and inertial source currents is presented in the tensor (Palatini) formalism and adapted to the cosmological background, which exhibits novel features absent in the previously studied, static solutions to the theory. The results are contrasted with those in incomplete theories, such as sitting at the three corners of the geometrical trinity which correspond to particular reference frames in G∥R.

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“…Metric (or Weitzenböck) teleparallel, symmetric teleparallel and general teleparallel equivalent of gravity can be constructed in non-Riemannian geometries by using only torsion, only non-metricity and both, respectively. One can consult for the literature [3]. In order to remedy the above mentioned problems, among the non-Riemannian geometries, we choose to work with vanishing curvature and torsion, but non-vanishing non-metricity, known as the symmetric teleparallel geometries.…”

Section: Introductionmentioning

confidence: 99%

The non-minimally coupled symmetric teleparallel gravity with electromagnetic field

Doyran,

Sert,

Adak

2024

Phys. Scr.

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We construct a symmetric teleparallel gravity model which is non-minimally coupled with electromagnetic field in four dimensions inspired by its Riemannian equivalent. We derive the field equations by taking the variation of this model, which is written here for the first time. Then, we find some classes of spherically symmetric static solutions by the coincident gauge of symmetric teleparallel spacetime.

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General teleparallel metrical geometries

Cited by 7 publications

References 30 publications

Study of viable compact stellar structures in non-Riemannian geometry

Study of viable compact stellar structures in non-Riemannian geometry

General parallel cosmology

The non-minimally coupled symmetric teleparallel gravity with electromagnetic field

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